​Tomáš Bodnár is Associate Professor in the Department of Technical Mathematics Faculty of Mechanical Engineering at the Czech Technical University in Prague, as well as a researcher at the Institute of Mathematics, Czech Academy of Sciences. Research interests include numerical analysis, computational fluid mechanics, environmental and biological flows.Giovanni P. Galdi is Distinguished Professor in the Department of Mechanical Engineering and Materials Science of the Swanson School of Engineering at the University of Pittsburgh. His research interests are based around the mathematical fluid mechanics including the problems of flow stability and fluid-structure interaction problems.Šárka Nečasová is head of the Department of Evolution Differential Equations at the Institute of Mathematics of the Czech Academy of Sciences. Her work and research interests cover qualitative aspects of theory of partial differential equations in mechanics and thermodynamics of continuum, in biology and in other sciences.

• On the weak and variational entropy solutions for the steady Navier-Stokes-Fourier system with Dirichlet boundary condition for the temperature.- Stability estimates for a viscous incompressible flow past a rigid body with time-dependent motion.- Existence and regularity of a magnetohydrodynamic system with Navier-type boundary conditions in 2-D.- On asymptotic stability of Boussinesq equations.- Controllability of one dimensional Burgers-particle interaction model.- Optimal control for two-dimensional Navier-Stokes equations with slippage.- Asymptotic behavior of the Navier-Stokes type problem.- On an approach to the global well-posedness of quasilinear parabolic- hyperbolic coupled system in unbounded domains.